.. _method-multilevel_function_train-tensor_grid:

"""""""""""
tensor_grid
"""""""""""


Use sub-sampled tensor-product quadrature points to build a polynomial chaos expansion.


.. toctree::
   :hidden:
   :maxdepth: 1



**Specification**

- *Alias:* None

- *Arguments:* None

- *Default:* regression with random sample set


**Description**


Tthe collocation grid is defined using a subset of tensor-product quadrature points: the order of the tensor-product grid is selected as one more than the expansion order in each dimension (to avoid sampling at roots of the basis polynomials) and then the tensor multi-index is uniformly sampled to generate a non-repeated subset of tensor quadrature points.